Direct conversion
Convert degree [deg] to radian [rad] instantly with formula, examples, chart, and FAQs.
Quick answer
Use the calculator below for any custom value, then check the formula, examples, chart, and reverse conversion links.
1 degree [deg] = 0.017453 radian [rad]
1 degree [deg] = 0.017453 radian [rad]
Example: 1 degree [deg] equals 0.017453 radian [rad].
Angle conversions use radian as the reference unit. Degree, arcminute, arcsecond, turn, and surveying units are converted through fixed factors.
Displayed results are rounded for readability. The calculator keeps enough precision for everyday use and switches to scientific notation for very large or very small values. Last reviewed: 2026-05-21.
The degree is an angle unit equal to one 360th of a full turn.
HistoryDegrees come from sexagesimal angle division and have long use in geometry and astronomy.
Current useDegrees are used for geometry, navigation, maps, construction, engineering, weather direction, and rotations.
The radian is the SI angle unit based on the radius and arc length of a circle.
HistoryRadians became standard in mathematics because they simplify trigonometric formulas and calculus.
Current useRadians are used in mathematics, physics, engineering, programming, rotation, and angular velocity calculations.
| degree [deg] | radian [rad] |
|---|---|
| 1 | 0.017453 |
| 2 | 0.034907 |
| 5 | 0.087266 |
| 10 | 0.174533 |
| 20 | 0.349066 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.745329 |
| 1000 | 17.453293 |
Use this formula: 1 degree [deg] = 0.017453 radian [rad] Enter your value in the calculator and the result updates instantly.
1 degree [deg] equals 0.017453 radian [rad].
Yes. Use the swap button in the calculator or open the related reverse conversion link when it is listed on this page.